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Finding the Fourth Proportional to 142,575.78, 196,741.10 and 85,203.68

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Solution

The fourth proportional to 142,575.78, 196,741.10 and 85,203.68 is: 117,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,575.78 : 196,741.10 = 85,203.68 : x
  2. Step 2: Convert to fraction form
    142,575.78/196,741.10 = 85,203.68/x
  3. Step 3: Cross multiply
    142,575.78x = 196,741.10 × 85,203.68
  4. Step 4: Simplify right side
    142,575.78x = 16,763,065,727.25
  5. Step 5: Solve for x
    x = 16,763,065,727.25/142,575.78
  6. Step 6: Final answer
    x = 117,573.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.